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Finding the Fourth Proportional to 7,133.60, 10,698.48 and 2,516

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Solution

The fourth proportional to 7,133.60, 10,698.48 and 2,516 is: 3,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.60 : 10,698.48 = 2,516 : x
  2. Step 2: Convert to fraction form
    7,133.60/10,698.48 = 2,516/x
  3. Step 3: Cross multiply
    7,133.60x = 10,698.48 × 2,516
  4. Step 4: Simplify right side
    7,133.60x = 26,917,375.68
  5. Step 5: Solve for x
    x = 26,917,375.68/7,133.60
  6. Step 6: Final answer
    x = 3,773.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.